please explain. Thanks

List the functions below in increasing order by placing one function on each line, with the top line containing the smallest function and the bottom line containing the largest function. If two functions are in the same group (reminder: f(n) and g(n) are in the same group if f(n) = O(g(n)) and g(n) Of(n))), then write those functions on the same line. Proofs are not required here (that would take a while!), and you can assume that n is an integer. Vin), n,2 2 n2?. ()lopez r. )" glogs", n logion, n1/3 + log, n, 1.0005", 2", 42, log,n, log, 4,n."e", log, n!, (log, n)?, n